1113430011120 has 400 divisors, whose sum is σ = 4424715609600. Its totient is φ = 254200923648.

The previous prime is 1113430011073. The next prime is 1113430011151. The reversal of 1113430011120 is 211100343111.

It is a happy number.

1113430011120 is a `hidden beast` number, since 1 + 113 + 430 + 0 + 1 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1113430011093 and 1113430011102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40038981 + ... + 40066779.

It is an arithmetic number, because the mean of its divisors is an integer number (11061789024).

Almost surely, 2^{1113430011120} is an apocalyptic number.

1113430011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113430011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212357804800).

1113430011120 is an abundant number, since it is smaller than the sum of its proper divisors (3311285598480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1113430011120 is a wasteful number, since it uses less digits than its factorization.

1113430011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28714 (or 28699 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1113430011120 its reverse (211100343111), we get a palindrome (1324530354231).

The spelling of 1113430011120 in words is "one trillion, one hundred thirteen billion, four hundred thirty million, eleven thousand, one hundred twenty".